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Finding the Fourth Proportional to 3,360, 5,038.99 and 1,411.77

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Solution

The fourth proportional to 3,360, 5,038.99 and 1,411.77 is: 2,117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,360 : 5,038.99 = 1,411.77 : x
  2. Step 2: Convert to fraction form
    3,360/5,038.99 = 1,411.77/x
  3. Step 3: Cross multiply
    3,360x = 5,038.99 × 1,411.77
  4. Step 4: Simplify right side
    3,360x = 7,113,894.91
  5. Step 5: Solve for x
    x = 7,113,894.91/3,360
  6. Step 6: Final answer
    x = 2,117.23

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