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Finding the Fourth Proportional to 5,013.12, 6,900.80 and 4,340.64

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Solution

The fourth proportional to 5,013.12, 6,900.80 and 4,340.64 is: 5,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,013.12 : 6,900.80 = 4,340.64 : x
  2. Step 2: Convert to fraction form
    5,013.12/6,900.80 = 4,340.64/x
  3. Step 3: Cross multiply
    5,013.12x = 6,900.80 × 4,340.64
  4. Step 4: Simplify right side
    5,013.12x = 29,953,888.51
  5. Step 5: Solve for x
    x = 29,953,888.51/5,013.12
  6. Step 6: Final answer
    x = 5,975.10

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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.