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Finding the Fourth Proportional to 5,258.30, 7,264.05 and 4,094.42

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Solution

The fourth proportional to 5,258.30, 7,264.05 and 4,094.42 is: 5,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.30 : 7,264.05 = 4,094.42 : x
  2. Step 2: Convert to fraction form
    5,258.30/7,264.05 = 4,094.42/x
  3. Step 3: Cross multiply
    5,258.30x = 7,264.05 × 4,094.42
  4. Step 4: Simplify right side
    5,258.30x = 29,742,071.60
  5. Step 5: Solve for x
    x = 29,742,071.60/5,258.30
  6. Step 6: Final answer
    x = 5,656.21

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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.