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Finding the Fourth Proportional to 5,875.53, 8,813.31 and 1,492.98

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Solution

The fourth proportional to 5,875.53, 8,813.31 and 1,492.98 is: 2,239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.53 : 8,813.31 = 1,492.98 : x
  2. Step 2: Convert to fraction form
    5,875.53/8,813.31 = 1,492.98/x
  3. Step 3: Cross multiply
    5,875.53x = 8,813.31 × 1,492.98
  4. Step 4: Simplify right side
    5,875.53x = 13,158,095.56
  5. Step 5: Solve for x
    x = 13,158,095.56/5,875.53
  6. Step 6: Final answer
    x = 2,239.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.