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Finding the Fourth Proportional to 5,063.08, 7,594.54 and 1,985

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Solution

The fourth proportional to 5,063.08, 7,594.54 and 1,985 is: 2,977.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063.08 : 7,594.54 = 1,985 : x
  2. Step 2: Convert to fraction form
    5,063.08/7,594.54 = 1,985/x
  3. Step 3: Cross multiply
    5,063.08x = 7,594.54 × 1,985
  4. Step 4: Simplify right side
    5,063.08x = 15,075,161.90
  5. Step 5: Solve for x
    x = 15,075,161.90/5,063.08
  6. Step 6: Final answer
    x = 2,977.47

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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.