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Finding the Fourth Proportional to 5,165.66, 7,748.48 and 1,417.46

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Solution

The fourth proportional to 5,165.66, 7,748.48 and 1,417.46 is: 2,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.66 : 7,748.48 = 1,417.46 : x
  2. Step 2: Convert to fraction form
    5,165.66/7,748.48 = 1,417.46/x
  3. Step 3: Cross multiply
    5,165.66x = 7,748.48 × 1,417.46
  4. Step 4: Simplify right side
    5,165.66x = 10,983,114.63
  5. Step 5: Solve for x
    x = 10,983,114.63/5,165.66
  6. Step 6: Final answer
    x = 2,126.18

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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.