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Finding the Fourth Proportional to 5,217.52, 7,829.28 and 3,030.40

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Solution

The fourth proportional to 5,217.52, 7,829.28 and 3,030.40 is: 4,547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.52 : 7,829.28 = 3,030.40 : x
  2. Step 2: Convert to fraction form
    5,217.52/7,829.28 = 3,030.40/x
  3. Step 3: Cross multiply
    5,217.52x = 7,829.28 × 3,030.40
  4. Step 4: Simplify right side
    5,217.52x = 23,725,850.11
  5. Step 5: Solve for x
    x = 23,725,850.11/5,217.52
  6. Step 6: Final answer
    x = 4,547.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.