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Finding the Fourth Proportional to 5,280.30, 7,922.04 and 1,582.65

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Solution

The fourth proportional to 5,280.30, 7,922.04 and 1,582.65 is: 2,374.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.30 : 7,922.04 = 1,582.65 : x
  2. Step 2: Convert to fraction form
    5,280.30/7,922.04 = 1,582.65/x
  3. Step 3: Cross multiply
    5,280.30x = 7,922.04 × 1,582.65
  4. Step 4: Simplify right side
    5,280.30x = 12,537,810.67
  5. Step 5: Solve for x
    x = 12,537,810.67/5,280.30
  6. Step 6: Final answer
    x = 2,374.45

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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.