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Finding the Fourth Proportional to 5,603.48, 7,731.96 and 3,365

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Solution

The fourth proportional to 5,603.48, 7,731.96 and 3,365 is: 4,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.48 : 7,731.96 = 3,365 : x
  2. Step 2: Convert to fraction form
    5,603.48/7,731.96 = 3,365/x
  3. Step 3: Cross multiply
    5,603.48x = 7,731.96 × 3,365
  4. Step 4: Simplify right side
    5,603.48x = 26,018,045.40
  5. Step 5: Solve for x
    x = 26,018,045.40/5,603.48
  6. Step 6: Final answer
    x = 4,643.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.