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Finding the Fourth Proportional to 5,644.44, 7,788.42 and 3,547.08

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Solution

The fourth proportional to 5,644.44, 7,788.42 and 3,547.08 is: 4,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.44 : 7,788.42 = 3,547.08 : x
  2. Step 2: Convert to fraction form
    5,644.44/7,788.42 = 3,547.08/x
  3. Step 3: Cross multiply
    5,644.44x = 7,788.42 × 3,547.08
  4. Step 4: Simplify right side
    5,644.44x = 27,626,148.81
  5. Step 5: Solve for x
    x = 27,626,148.81/5,644.44
  6. Step 6: Final answer
    x = 4,894.40

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1.5x scale

Why These Related Problems?

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