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Finding the Fourth Proportional to 5,002.96, 7,502.88 and 1,883.40

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Solution

The fourth proportional to 5,002.96, 7,502.88 and 1,883.40 is: 2,824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.96 : 7,502.88 = 1,883.40 : x
  2. Step 2: Convert to fraction form
    5,002.96/7,502.88 = 1,883.40/x
  3. Step 3: Cross multiply
    5,002.96x = 7,502.88 × 1,883.40
  4. Step 4: Simplify right side
    5,002.96x = 14,130,924.19
  5. Step 5: Solve for x
    x = 14,130,924.19/5,002.96
  6. Step 6: Final answer
    x = 2,824.51

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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.