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Finding the Fourth Proportional to 4,695.52, 7,052.33 and 4,506.20

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Solution

The fourth proportional to 4,695.52, 7,052.33 and 4,506.20 is: 6,767.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.52 : 7,052.33 = 4,506.20 : x
  2. Step 2: Convert to fraction form
    4,695.52/7,052.33 = 4,506.20/x
  3. Step 3: Cross multiply
    4,695.52x = 7,052.33 × 4,506.20
  4. Step 4: Simplify right side
    4,695.52x = 31,779,211.90
  5. Step 5: Solve for x
    x = 31,779,211.90/4,695.52
  6. Step 6: Final answer
    x = 6,767.99

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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.