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Finding the Fourth Proportional to 5,470.56, 7,547.02 and 3,578.84

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Solution

The fourth proportional to 5,470.56, 7,547.02 and 3,578.84 is: 4,937.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.56 : 7,547.02 = 3,578.84 : x
  2. Step 2: Convert to fraction form
    5,470.56/7,547.02 = 3,578.84/x
  3. Step 3: Cross multiply
    5,470.56x = 7,547.02 × 3,578.84
  4. Step 4: Simplify right side
    5,470.56x = 27,009,577.06
  5. Step 5: Solve for x
    x = 27,009,577.06/5,470.56
  6. Step 6: Final answer
    x = 4,937.26

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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.