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Finding the Fourth Proportional to 5,298.66, 7,312.14 and 2,876.04

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Solution

The fourth proportional to 5,298.66, 7,312.14 and 2,876.04 is: 3,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.66 : 7,312.14 = 2,876.04 : x
  2. Step 2: Convert to fraction form
    5,298.66/7,312.14 = 2,876.04/x
  3. Step 3: Cross multiply
    5,298.66x = 7,312.14 × 2,876.04
  4. Step 4: Simplify right side
    5,298.66x = 21,030,007.13
  5. Step 5: Solve for x
    x = 21,030,007.13/5,298.66
  6. Step 6: Final answer
    x = 3,968.93

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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.