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Finding the Fourth Proportional to 5,095.40, 7,030.67 and 3,078.40

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Solution

The fourth proportional to 5,095.40, 7,030.67 and 3,078.40 is: 4,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.40 : 7,030.67 = 3,078.40 : x
  2. Step 2: Convert to fraction form
    5,095.40/7,030.67 = 3,078.40/x
  3. Step 3: Cross multiply
    5,095.40x = 7,030.67 × 3,078.40
  4. Step 4: Simplify right side
    5,095.40x = 21,643,219.47
  5. Step 5: Solve for x
    x = 21,643,219.47/5,095.40
  6. Step 6: Final answer
    x = 4,247.60

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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.