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Finding the Fourth Proportional to 5,478.07, 7,547.29 and 5,108.71

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Solution

The fourth proportional to 5,478.07, 7,547.29 and 5,108.71 is: 7,038.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.07 : 7,547.29 = 5,108.71 : x
  2. Step 2: Convert to fraction form
    5,478.07/7,547.29 = 5,108.71/x
  3. Step 3: Cross multiply
    5,478.07x = 7,547.29 × 5,108.71
  4. Step 4: Simplify right side
    5,478.07x = 38,556,915.90
  5. Step 5: Solve for x
    x = 38,556,915.90/5,478.07
  6. Step 6: Final answer
    x = 7,038.41

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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.