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Finding the Fourth Proportional to 3,590.69, 5,382.05 and 1,510.08

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Solution

The fourth proportional to 3,590.69, 5,382.05 and 1,510.08 is: 2,263.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.69 : 5,382.05 = 1,510.08 : x
  2. Step 2: Convert to fraction form
    3,590.69/5,382.05 = 1,510.08/x
  3. Step 3: Cross multiply
    3,590.69x = 5,382.05 × 1,510.08
  4. Step 4: Simplify right side
    3,590.69x = 8,127,318.51
  5. Step 5: Solve for x
    x = 8,127,318.51/3,590.69
  6. Step 6: Final answer
    x = 2,263.45

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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.