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Finding the Fourth Proportional to 5,346.51, 7,378.02 and 2,988.64

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Solution

The fourth proportional to 5,346.51, 7,378.02 and 2,988.64 is: 4,124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.51 : 7,378.02 = 2,988.64 : x
  2. Step 2: Convert to fraction form
    5,346.51/7,378.02 = 2,988.64/x
  3. Step 3: Cross multiply
    5,346.51x = 7,378.02 × 2,988.64
  4. Step 4: Simplify right side
    5,346.51x = 22,050,254.92
  5. Step 5: Solve for x
    x = 22,050,254.92/5,346.51
  6. Step 6: Final answer
    x = 4,124.24

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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.