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Finding the Fourth Proportional to 4,686.51, 7,032.06 and 2,053.67

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Solution

The fourth proportional to 4,686.51, 7,032.06 and 2,053.67 is: 3,081.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.51 : 7,032.06 = 2,053.67 : x
  2. Step 2: Convert to fraction form
    4,686.51/7,032.06 = 2,053.67/x
  3. Step 3: Cross multiply
    4,686.51x = 7,032.06 × 2,053.67
  4. Step 4: Simplify right side
    4,686.51x = 14,441,495.50
  5. Step 5: Solve for x
    x = 14,441,495.50/4,686.51
  6. Step 6: Final answer
    x = 3,081.50

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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.