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Finding the Fourth Proportional to 5,048.74, 7,574.30 and 1,585.99

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Solution

The fourth proportional to 5,048.74, 7,574.30 and 1,585.99 is: 2,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.74 : 7,574.30 = 1,585.99 : x
  2. Step 2: Convert to fraction form
    5,048.74/7,574.30 = 1,585.99/x
  3. Step 3: Cross multiply
    5,048.74x = 7,574.30 × 1,585.99
  4. Step 4: Simplify right side
    5,048.74x = 12,012,726.19
  5. Step 5: Solve for x
    x = 12,012,726.19/5,048.74
  6. Step 6: Final answer
    x = 2,379.35

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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.