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Finding the Fourth Proportional to 5,152.90, 7,104.50 and 4,207.72

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Solution

The fourth proportional to 5,152.90, 7,104.50 and 4,207.72 is: 5,801.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.90 : 7,104.50 = 4,207.72 : x
  2. Step 2: Convert to fraction form
    5,152.90/7,104.50 = 4,207.72/x
  3. Step 3: Cross multiply
    5,152.90x = 7,104.50 × 4,207.72
  4. Step 4: Simplify right side
    5,152.90x = 29,893,746.74
  5. Step 5: Solve for x
    x = 29,893,746.74/5,152.90
  6. Step 6: Final answer
    x = 5,801.34

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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.