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Finding the Fourth Proportional to 4,689.48, 6,458.36 and 4,587.42

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Solution

The fourth proportional to 4,689.48, 6,458.36 and 4,587.42 is: 6,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.48 : 6,458.36 = 4,587.42 : x
  2. Step 2: Convert to fraction form
    4,689.48/6,458.36 = 4,587.42/x
  3. Step 3: Cross multiply
    4,689.48x = 6,458.36 × 4,587.42
  4. Step 4: Simplify right side
    4,689.48x = 29,627,211.11
  5. Step 5: Solve for x
    x = 29,627,211.11/4,689.48
  6. Step 6: Final answer
    x = 6,317.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.