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Finding the Fourth Proportional to 5,166.68, 7,130.04 and 3,070.76

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Solution

The fourth proportional to 5,166.68, 7,130.04 and 3,070.76 is: 4,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.68 : 7,130.04 = 3,070.76 : x
  2. Step 2: Convert to fraction form
    5,166.68/7,130.04 = 3,070.76/x
  3. Step 3: Cross multiply
    5,166.68x = 7,130.04 × 3,070.76
  4. Step 4: Simplify right side
    5,166.68x = 21,894,641.63
  5. Step 5: Solve for x
    x = 21,894,641.63/5,166.68
  6. Step 6: Final answer
    x = 4,237.66

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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.