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Finding the Fourth Proportional to 3,697.68, 5,547.74 and 1,749.63

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Solution

The fourth proportional to 3,697.68, 5,547.74 and 1,749.63 is: 2,625.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.68 : 5,547.74 = 1,749.63 : x
  2. Step 2: Convert to fraction form
    3,697.68/5,547.74 = 1,749.63/x
  3. Step 3: Cross multiply
    3,697.68x = 5,547.74 × 1,749.63
  4. Step 4: Simplify right side
    3,697.68x = 9,706,492.34
  5. Step 5: Solve for x
    x = 9,706,492.34/3,697.68
  6. Step 6: Final answer
    x = 2,625.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.