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Finding the Fourth Proportional to 5,613.08, 7,746 and 3,095.19

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Solution

The fourth proportional to 5,613.08, 7,746 and 3,095.19 is: 4,271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.08 : 7,746 = 3,095.19 : x
  2. Step 2: Convert to fraction form
    5,613.08/7,746 = 3,095.19/x
  3. Step 3: Cross multiply
    5,613.08x = 7,746 × 3,095.19
  4. Step 4: Simplify right side
    5,613.08x = 23,975,341.74
  5. Step 5: Solve for x
    x = 23,975,341.74/5,613.08
  6. Step 6: Final answer
    x = 4,271.34

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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.