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Finding the Fourth Proportional to 5,497.86, 7,587.02 and 2,980.03

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Solution

The fourth proportional to 5,497.86, 7,587.02 and 2,980.03 is: 4,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.86 : 7,587.02 = 2,980.03 : x
  2. Step 2: Convert to fraction form
    5,497.86/7,587.02 = 2,980.03/x
  3. Step 3: Cross multiply
    5,497.86x = 7,587.02 × 2,980.03
  4. Step 4: Simplify right side
    5,497.86x = 22,609,547.21
  5. Step 5: Solve for x
    x = 22,609,547.21/5,497.86
  6. Step 6: Final answer
    x = 4,112.43

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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.