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Finding the Fourth Proportional to 5,166.63, 7,117.29 and 3,746.14

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Solution

The fourth proportional to 5,166.63, 7,117.29 and 3,746.14 is: 5,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.63 : 7,117.29 = 3,746.14 : x
  2. Step 2: Convert to fraction form
    5,166.63/7,117.29 = 3,746.14/x
  3. Step 3: Cross multiply
    5,166.63x = 7,117.29 × 3,746.14
  4. Step 4: Simplify right side
    5,166.63x = 26,662,360.31
  5. Step 5: Solve for x
    x = 26,662,360.31/5,166.63
  6. Step 6: Final answer
    x = 5,160.50

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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.