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Finding the Fourth Proportional to 5,602.16, 7,724.56 and 4,590.68

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Solution

The fourth proportional to 5,602.16, 7,724.56 and 4,590.68 is: 6,329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.16 : 7,724.56 = 4,590.68 : x
  2. Step 2: Convert to fraction form
    5,602.16/7,724.56 = 4,590.68/x
  3. Step 3: Cross multiply
    5,602.16x = 7,724.56 × 4,590.68
  4. Step 4: Simplify right side
    5,602.16x = 35,460,983.10
  5. Step 5: Solve for x
    x = 35,460,983.10/5,602.16
  6. Step 6: Final answer
    x = 6,329.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.