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Finding the Fourth Proportional to 3,547.12, 4,894.98 and 1,953.50

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Solution

The fourth proportional to 3,547.12, 4,894.98 and 1,953.50 is: 2,695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.12 : 4,894.98 = 1,953.50 : x
  2. Step 2: Convert to fraction form
    3,547.12/4,894.98 = 1,953.50/x
  3. Step 3: Cross multiply
    3,547.12x = 4,894.98 × 1,953.50
  4. Step 4: Simplify right side
    3,547.12x = 9,562,343.43
  5. Step 5: Solve for x
    x = 9,562,343.43/3,547.12
  6. Step 6: Final answer
    x = 2,695.80

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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.