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Finding the Fourth Proportional to 5,045.19, 7,567.78 and 1,535.19

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Solution

The fourth proportional to 5,045.19, 7,567.78 and 1,535.19 is: 2,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,045.19 : 7,567.78 = 1,535.19 : x
  2. Step 2: Convert to fraction form
    5,045.19/7,567.78 = 1,535.19/x
  3. Step 3: Cross multiply
    5,045.19x = 7,567.78 × 1,535.19
  4. Step 4: Simplify right side
    5,045.19x = 11,617,980.18
  5. Step 5: Solve for x
    x = 11,617,980.18/5,045.19
  6. Step 6: Final answer
    x = 2,302.78

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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.