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Finding the Fourth Proportional to 5,196.64, 7,745.60 and 5,058.16

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Solution

The fourth proportional to 5,196.64, 7,745.60 and 5,058.16 is: 7,539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.64 : 7,745.60 = 5,058.16 : x
  2. Step 2: Convert to fraction form
    5,196.64/7,745.60 = 5,058.16/x
  3. Step 3: Cross multiply
    5,196.64x = 7,745.60 × 5,058.16
  4. Step 4: Simplify right side
    5,196.64x = 39,178,484.10
  5. Step 5: Solve for x
    x = 39,178,484.10/5,196.64
  6. Step 6: Final answer
    x = 7,539.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.